 # 为学习数学的基础增添乐趣！

SMILE国际设计具有有目的的流程、学习顺序和结构，以建立牢固的基础和熟练程度。与美国共同核心数学课程相一致。

6个层次的学习计划，满足孩子的学习需求。请查看下面每个级别所涵盖的完整主题。

## 提供教学大纲

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Whole Numbers
Place Values, Counting in Groups of Ten, Number Patterns, Addition, Subtraction, Grouping, Ordinal numbers, Comparison “More, Less, Fewer”.

Length
Learning Measurement with Objects.

Money
Counting in Cents up to \$1 and Dollars up to \$100.

Shapes
2-D and 3-D basic shapes.

Time
Telling time to the Hour and Half Hour.

Statistics

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Whole Numbers
Place values, Compare and Order in Number Patterns, Odd and Even Numbers, Addition/Subtraction/Multiplication/Division (four operations), Multiplication/Division by 2, 3, 4, 5 and 10.

Fractions
Be introduced to the idea of Fractions.

Length
Measure in Centimetres and Metres, Inches and Feet.

Mass
Introducing and measuring in Kilograms and Grams.

Money
Learn and practise Conversion of Dollars and Cents as well as US denominations.

Time
Tell time to 5 Minutes, in a.m. and p.m., calculate Duration in Hours and Half Hour.

Volume
Learn and measure in Millimetres and Litres and US units for liquid volume.

Statistics
Read data from Picture Graphs with Scales.

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Whole Numbers
More revision on Compare and Order, Thousands Place Value, Addition/Subtraction/Multiplication/Division (four operations), Division with Remainder, Multiplication Tables (6, 7, 8 & 9), Multiplying 3-digit with 1-digit.

Area
Learn about Area of Rectangle, Square, Triangle.

Fractions
A Study on Unit Fractions, Addition/Subtraction of Like Fractions. Learn and practise on Equivalent Fractions, express in Simplest Form, Compare and Order fractions, Addition/Subtraction of Related Fractions.

Length
Measure in Inches (in.), Feet (ft), Centimetres (cm), Metres (m) and Kilometres (km), Conversion between Units.

Lines
Learn Parallel and Perpendicular lines.

Mass
Practise conversion between Grams and Kilograms, as well as US units for mass.

Money

Perimeter
Learn about Perimeter of Rectangles and Squares.

Time
Tell time with “Past” and “To”, conversion of Hours to Minutes and vice-versa, calculating Start Time, End Time and Duration.

Volume
Convert between Millimetres and Litres, as well as US units for volume.

Statistics

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Whole Numbers
Compare and Order up to 100,000, an introduction to various concepts for Problem Solving and identifying Solutioning Concepts (Constant Difference, Constant Total, Constant Part, Working Backwards, Guess & Check, Total Changed, Excess-Shortage, Excess-Excess, Shortage-Shortage), Number Patterns, Factors (Common Factors, Simplifying Factors), Multiples (Common Multiples, Lowest Common Denominator), Rounding Off.

Angles
Learn about the different types of angles. Measuring, drawing a given size, Parallel and Perpendicular Lines, learn about Turns involving Cardinal Points.

Length
How to convert between SI and US system of measurement.

Mass
How to convert between SI and US system of measurement.

Area
Given the area, find the dimensions of a rectangle or a square. Find the area of composite figures.

Liquid Volume
How to convert between SI and US system of measurement.

Time
Read in Digital and Analogue, 24-hour Format, learn concepts on and practise word sums on Duration, Start and Finish Times.

Symmetry
Identify and determine Lines.

Fractions
Identify and convert Mixed and Improper Fractions, Additions/Subtractions with Remainders, Addition/Subtraction with Different Denominators, finding Remainder of a Whole.

Decimals
Conversion of Fractions into Decimals, Rounding Off, more practice on Addition/Subtraction/Multiplication/Division (four operations).

Money
Solving word problems involving money.

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Whole Numbers
Practise questions on various concepts of solving word problems from Grade 4, solve word problems given two given relationships.

Fractions
Pick up problem-solving concepts on Making Equal, Order and Comparison, Making Same for Numerators and Denominators, Subtraction with Remainder, Branch Drawing.

Rate
Read rates from Charts, work on problem sums involving Volume, Rate Inverse, Direct Proportion.

Ratio
Practice using Direct Proportion, leverage on problem-solving concepts learnt previously to solve word problems between two ratios e.g., Constant Parts, Constant Total, Constant Difference, Total Changed.

Percentage
Learn Discount, Cost Price, Selling Price, Principal Amount and Interest.

Geometry
Learn about the Cartesian coordinate plane.

Statistics
Solving word problems involving average.

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Whole Numbers
Problem-solving using concepts like Constant Difference, Simultaneous Concept and Excess-shortage and more.

Fractions
Practise word problems involving Fractions.

Algebra
Learn Algebraic Expressions with concepts on Simplifying, Forming, Manipulation and Substituting Values, plus revision practices on solving word problems.

Area / Volume
Find Lengths, Heights and Base Areas of a Cuboid, practise word sums with given volumes and base areas conditions.

Speed
Study relationships between Speed and Time, Speed and Distance, Distance between 2 Points, practise understanding with problems on Time Taken, Overtaking, Difference between Average Speeds with the Distance-Speed-Time triangle, revision on word problems involving increasing and decreasing distance between 2 objects.

Rate
Practise word problems on Combined Rates and Inverse Rates.

Ratio
Strengthen concept foundations through problem sums using concepts like Constant Part, Constant Total, Constant Difference, Everything Changes and more.

Percentage
Practise problem solving on Percentage Increase, Decrease, Percentage Profit/Loss.

Statistics
Read data from Tables, Line Graphs.

Inequalities

Money
Solving word problems involving money.

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4个与各种数学课程相适应的课程

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